Another kind of numerical instabilities of the integral approach to the interior boundary-value problem for the two-dimensional Helmholtz equation

DOI10.1002/nme.1620180802zbMath0483.65079OpenAlexW2152053489MaRDI QIDQ3942353

Franco Mattioli

Publication date: 1982

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620180802

zbMATH Keywords

Helmholtz equationnumerical instabilityintegral methodinterior boundary-value problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Eigenvalue problems for integral equations (45C05)

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Cites Work

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• Wave-induced oscillations in harbours of arbitrary geometry